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A220562
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T(n,k)=Number of ways to reciprocally link elements of an nXk array either to themselves or to exactly one horizontal or antidiagonal neighbor
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12
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1, 2, 1, 3, 5, 1, 5, 14, 13, 1, 8, 47, 64, 34, 1, 13, 149, 430, 292, 89, 1, 21, 481, 2604, 3966, 1332, 233, 1, 34, 1544, 16310, 45966, 36640, 6076, 610, 1, 55, 4965, 101052, 561636, 810778, 338581, 27716, 1597, 1, 89, 15957, 628269, 6743873, 19333688, 14298089
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OFFSET
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1,2
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COMMENTS
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Table starts
.1.....2........3............5...............8..................13
.1.....5.......14...........47.............149.................481
.1....13.......64..........430............2604...............16310
.1....34......292.........3966...........45966..............561636
.1....89.....1332........36640..........810778............19333688
.1...233.....6076.......338581........14298089...........665748170
.1...610....27716......3128843.......252139015.........22926570957
.1..1597...126428.....28913910......4446314533........789539775889
.1..4181...576708....267196106.....78407942556......27190037181789
.1.10946..2630684...2469184016...1382674335890.....936366170726784
.1.28657.12000004..22817958901..24382584703194...32246430390993213
.1.75025.54738652.210862878471.429971411669361.1110497486239608510
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LINKS
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EXAMPLE
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Some solutions for n=3 k=4 0=self 3=ne 4=w 6=e 7=sw (reciprocal directions total 10)
..0..0..0..0....0..6..4..0....0..7..6..4....0..7..6..4....6..4..0..0
..0..7..6..4....6..4..7..0....3..0..0..0....3..0..0..7....6..4..7..7
..3..6..4..0....0..3..0..0....0..0..0..0....0..0..3..0....0..3..3..0
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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